X/(3x-5)=(1/2)

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Solution for X/(3x-5)=(1/2) equation: 


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

X/(3*x-5) = 1/2 // - 1/2

X/(3*x-5)-(1/2) = 0

X/(3*x-5)-1/2 = 0

(2*X)/(2*(3*x-5))+(-1*(3*x-5))/(2*(3*x-5)) = 0

2*X-1*(3*x-5) = 0

2*X-3*x+5 = 0

(2*X-3*x+5)/(2*(3*x-5)) = 0

(2*X-3*x+5)/(2*(3*x-5)) = 0 // * 2*(3*x-5)

2*X-3*x+5 = 0

2*X-3*x+5 = 0 // - 2*X+5

-3*x = -(2*X+5) // : -3

x = (-(2*X+5))/(-3)

x = (2*X+5)/3

x = (2*X+5)/3

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